Housing Market Dataset

Dataset statistics

Number of variables	14
Number of observations	506
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	55.5 KiB
Average record size in memory	112.3 B

Variable types

NUM	13
BOOL	1

Warnings

`tax` is highly correlated with `rad`	High correlation
`rad` is highly correlated with `tax`	High correlation
`zn` has 372 (73.5%) zeros	Zeros

Reproduction

Analysis started	2021-04-24 16:03:42.225442
Analysis finished	2021-04-24 16:04:05.592812
Duration	23.37 seconds
Software version	pandas-profiling v2.9.0
Download configuration	config.yaml

crim
Real number (ℝ_≥0)

Distinct	504
Distinct (%)	99.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	3.613523557
Minimum	0.00632
Maximum	88.9762
Zeros	0
Zeros (%)	0.0%
Memory size	4.1 KiB

Quantile statistics

Minimum	0.00632
5-th percentile	0.02791
Q1	0.082045
median	0.25651
Q3	3.6770825
95-th percentile	15.78915
Maximum	88.9762
Range	88.96988
Interquartile range (IQR)	3.5950375

Descriptive statistics

Standard deviation	8.601545105
Coefficient of variation (CV)	2.380376098
Kurtosis	37.13050913
Mean	3.613523557
Median Absolute Deviation (MAD)	0.22145
Skewness	5.223148798
Sum	1828.44292
Variance	73.9865782
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.01501	2	0.4%
14.3337	2	0.4%
0.57834	1	0.2%
0.06127	1	0.2%
0.03548	1	0.2%
0.1403	1	0.2%
0.03705	1	0.2%
0.95577	1	0.2%
0.11747	1	0.2%
0.03537	1	0.2%
1.38799	1	0.2%
10.233	1	0.2%
0.52014	1	0.2%
0.97617	1	0.2%
0.2909	1	0.2%
0.14866	1	0.2%
2.3004	1	0.2%
12.2472	1	0.2%
8.15174	1	0.2%
0.31827	1	0.2%
0.06151	1	0.2%
0.05602	1	0.2%
1.13081	1	0.2%
1.46336	1	0.2%
0.12083	1	0.2%
Other values (479)	479	94.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.00632	1	0.2%
0.00906	1	0.2%
0.01096	1	0.2%
0.01301	1	0.2%
0.01311	1	0.2%
0.0136	1	0.2%
0.01381	1	0.2%
0.01432	1	0.2%
0.01439	1	0.2%
0.01501	2	0.4%

Value	Count	Frequency (%)
88.9762	1	0.2%
73.5341	1	0.2%
67.9208	1	0.2%
51.1358	1	0.2%
45.7461	1	0.2%
41.5292	1	0.2%
38.3518	1	0.2%
37.6619	1	0.2%
28.6558	1	0.2%
25.9406	1	0.2%

zn
Real number (ℝ_≥0)

ZEROS

Distinct	26
Distinct (%)	5.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	11.36363636
Minimum	0
Maximum	100
Zeros	372
Zeros (%)	73.5%
Memory size	4.1 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	0
Q3	12.5
95-th percentile	80
Maximum	100
Range	100
Interquartile range (IQR)	12.5

Descriptive statistics

Standard deviation	23.32245299
Coefficient of variation (CV)	2.052375864
Kurtosis	4.031510084
Mean	11.36363636
Median Absolute Deviation (MAD)	0
Skewness	2.225666323
Sum	5750
Variance	543.9368137
Monotocity	Not monotonic

Histogram with fixed size bins (bins=26)

Value	Count	Frequency (%)
0	372	73.5%
20	21	4.2%
80	15	3.0%
12.5	10	2.0%
25	10	2.0%
22	10	2.0%
40	7	1.4%
30	6	1.2%
45	6	1.2%
90	5	1.0%
95	4	0.8%
21	4	0.8%
60	4	0.8%
33	4	0.8%
28	3	0.6%
52.5	3	0.6%
75	3	0.6%
34	3	0.6%
35	3	0.6%
70	3	0.6%
55	3	0.6%
82.5	2	0.4%
85	2	0.4%
17.5	1	0.2%
100	1	0.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	372	73.5%
12.5	10	2.0%
17.5	1	0.2%
18	1	0.2%
20	21	4.2%
21	4	0.8%
22	10	2.0%
25	10	2.0%
28	3	0.6%
30	6	1.2%

Value	Count	Frequency (%)
100	1	0.2%
95	4	0.8%
90	5	1.0%
85	2	0.4%
82.5	2	0.4%
80	15	3.0%
75	3	0.6%
70	3	0.6%
60	4	0.8%
55	3	0.6%

indus
Real number (ℝ_≥0)

Distinct	76
Distinct (%)	15.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	11.13677866
Minimum	0.46
Maximum	27.74
Zeros	0
Zeros (%)	0.0%
Memory size	4.1 KiB

Quantile statistics

Minimum	0.46
5-th percentile	2.18
Q1	5.19
median	9.69
Q3	18.1
95-th percentile	21.89
Maximum	27.74
Range	27.28
Interquartile range (IQR)	12.91

Descriptive statistics

Standard deviation	6.860352941
Coefficient of variation (CV)	0.6160087358
Kurtosis	-1.233539601
Mean	11.13677866
Median Absolute Deviation (MAD)	6.32
Skewness	0.2950215679
Sum	5635.21
Variance	47.06444247
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
18.1	132	26.1%
19.58	30	5.9%
8.14	22	4.3%
6.2	18	3.6%
21.89	15	3.0%
9.9	12	2.4%
3.97	12	2.4%
10.59	11	2.2%
8.56	11	2.2%
5.86	10	2.0%
6.91	9	1.8%
10.01	9	1.8%
9.69	8	1.6%
2.46	8	1.6%
5.19	8	1.6%
7.38	8	1.6%
4.05	7	1.4%
25.65	7	1.4%
2.18	7	1.4%
7.87	7	1.4%
3.44	6	1.2%
4.93	6	1.2%
12.83	6	1.2%
5.13	6	1.2%
6.41	5	1.0%
Other values (51)	126	24.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.46	1	0.2%
0.74	1	0.2%
1.21	1	0.2%
1.22	1	0.2%
1.25	2	0.4%
1.32	1	0.2%
1.38	1	0.2%
1.47	2	0.4%
1.52	4	0.8%
1.69	2	0.4%

Value	Count	Frequency (%)
27.74	5	1.0%
25.65	7	1.4%
21.89	15	3.0%
19.58	30	5.9%
18.1	132	26.1%
15.04	3	0.6%
13.92	5	1.0%
13.89	4	0.8%
12.83	6	1.2%
11.93	5	1.0%

chas
Boolean

Distinct	2
Distinct (%)	0.4%
Missing	0
Missing (%)	0.0%
Memory size	4.1 KiB

0	471
1	35

Common Values
Chart

Value	Count	Frequency (%)
0	471	93.1%
1	35	6.9%

nox
Real number (ℝ_≥0)

Distinct	81
Distinct (%)	16.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.5546950593
Minimum	0.385
Maximum	0.871
Zeros	0
Zeros (%)	0.0%
Memory size	4.1 KiB

Quantile statistics

Minimum	0.385
5-th percentile	0.40925
Q1	0.449
median	0.538
Q3	0.624
95-th percentile	0.74
Maximum	0.871
Range	0.486
Interquartile range (IQR)	0.175

Descriptive statistics

Standard deviation	0.1158776757
Coefficient of variation (CV)	0.2089033853
Kurtosis	-0.06466713337
Mean	0.5546950593
Median Absolute Deviation (MAD)	0.0875
Skewness	0.7293079225
Sum	280.6757
Variance	0.01342763572
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.538	23	4.5%
0.713	18	3.6%
0.437	17	3.4%
0.871	16	3.2%
0.624	15	3.0%
0.489	15	3.0%
0.605	14	2.8%
0.693	14	2.8%
0.74	13	2.6%
0.544	12	2.4%
0.52	11	2.2%
0.7	11	2.2%
0.431	10	2.0%
0.507	10	2.0%
0.647	10	2.0%
0.448	9	1.8%
0.547	9	1.8%
0.504	8	1.6%
0.488	8	1.6%
0.585	8	1.6%
0.679	8	1.6%
0.464	8	1.6%
0.428	8	1.6%
0.515	8	1.6%
0.77	8	1.6%
Other values (56)	215	42.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.385	1	0.2%
0.389	1	0.2%
0.392	2	0.4%
0.394	1	0.2%
0.398	2	0.4%
0.4	4	0.8%
0.401	3	0.6%
0.403	3	0.6%
0.404	3	0.6%
0.405	3	0.6%

Value	Count	Frequency (%)
0.871	16	3.2%
0.77	8	1.6%
0.74	13	2.6%
0.718	6	1.2%
0.713	18	3.6%
0.7	11	2.2%
0.693	14	2.8%
0.679	8	1.6%
0.671	7	1.4%
0.668	3	0.6%

rm
Real number (ℝ_≥0)

Distinct	446
Distinct (%)	88.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	6.284634387
Minimum	3.561
Maximum	8.78
Zeros	0
Zeros (%)	0.0%
Memory size	4.1 KiB

Quantile statistics

Minimum	3.561
5-th percentile	5.314
Q1	5.8855
median	6.2085
Q3	6.6235
95-th percentile	7.5875
Maximum	8.78
Range	5.219
Interquartile range (IQR)	0.738

Descriptive statistics

Standard deviation	0.7026171434
Coefficient of variation (CV)	0.1117992074
Kurtosis	1.891500366
Mean	6.284634387
Median Absolute Deviation (MAD)	0.3455
Skewness	0.4036121333
Sum	3180.025
Variance	0.4936708502
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
6.167	3	0.6%
6.405	3	0.6%
5.713	3	0.6%
6.417	3	0.6%
6.127	3	0.6%
6.229	3	0.6%
5.39	2	0.4%
5.304	2	0.4%
6.968	2	0.4%
6.009	2	0.4%
5.983	2	0.4%
5.757	2	0.4%
7.82	2	0.4%
6.185	2	0.4%
6.03	2	0.4%
6.152	2	0.4%
6.004	2	0.4%
6.635	2	0.4%
6.251	2	0.4%
7.185	2	0.4%
6.315	2	0.4%
6.728	2	0.4%
6.211	2	0.4%
5.813	2	0.4%
6.794	2	0.4%
Other values (421)	450	88.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3.561	1	0.2%
3.863	1	0.2%
4.138	2	0.4%
4.368	1	0.2%
4.519	1	0.2%
4.628	1	0.2%
4.652	1	0.2%
4.88	1	0.2%
4.903	1	0.2%
4.906	1	0.2%

Value	Count	Frequency (%)
8.78	1	0.2%
8.725	1	0.2%
8.704	1	0.2%
8.398	1	0.2%
8.375	1	0.2%
8.337	1	0.2%
8.297	1	0.2%
8.266	1	0.2%
8.259	1	0.2%
8.247	1	0.2%

age
Real number (ℝ_≥0)

Distinct	356
Distinct (%)	70.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	68.57490119
Minimum	2.9
Maximum	100
Zeros	0
Zeros (%)	0.0%
Memory size	4.1 KiB

Quantile statistics

Minimum	2.9
5-th percentile	17.725
Q1	45.025
median	77.5
Q3	94.075
95-th percentile	100
Maximum	100
Range	97.1
Interquartile range (IQR)	49.05

Descriptive statistics

Standard deviation	28.14886141
Coefficient of variation (CV)	0.410483441
Kurtosis	-0.9677155942
Mean	68.57490119
Median Absolute Deviation (MAD)	19.55
Skewness	-0.5989626399
Sum	34698.9
Variance	792.3583985
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
100	43	8.5%
97.9	4	0.8%
96	4	0.8%
95.4	4	0.8%
98.2	4	0.8%
87.9	4	0.8%
98.8	4	0.8%
97.4	3	0.6%
94.1	3	0.6%
96.2	3	0.6%
32.2	3	0.6%
95.6	3	0.6%
97	3	0.6%
97.3	3	0.6%
88	3	0.6%
36.6	3	0.6%
92.6	3	0.6%
21.4	3	0.6%
98.9	3	0.6%
76.5	3	0.6%
85.1	2	0.4%
82.5	2	0.4%
91.9	2	0.4%
83	2	0.4%
59.7	2	0.4%
Other values (331)	390	77.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
2.9	1	0.2%
6	1	0.2%
6.2	1	0.2%
6.5	1	0.2%
6.6	2	0.4%
6.8	1	0.2%
7.8	2	0.4%
8.4	1	0.2%
8.9	1	0.2%
9.8	1	0.2%

Value	Count	Frequency (%)
100	43	8.5%
99.3	1	0.2%
99.1	1	0.2%
98.9	3	0.6%
98.8	4	0.8%
98.7	1	0.2%
98.5	1	0.2%
98.4	2	0.4%
98.3	2	0.4%
98.2	4	0.8%

dis
Real number (ℝ_≥0)

Distinct	412
Distinct (%)	81.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	3.795042688
Minimum	1.1296
Maximum	12.1265
Zeros	0
Zeros (%)	0.0%
Memory size	4.1 KiB

Quantile statistics

Minimum	1.1296
5-th percentile	1.461975
Q1	2.100175
median	3.20745
Q3	5.188425
95-th percentile	7.8278
Maximum	12.1265
Range	10.9969
Interquartile range (IQR)	3.08825

Descriptive statistics

Standard deviation	2.105710127
Coefficient of variation (CV)	0.5548580872
Kurtosis	0.4879411222
Mean	3.795042688
Median Absolute Deviation (MAD)	1.29115
Skewness	1.011780579
Sum	1920.2916
Variance	4.434015137
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
3.4952	5	1.0%
5.7209	4	0.8%
5.2873	4	0.8%
6.8147	4	0.8%
5.4007	4	0.8%
7.8278	3	0.6%
3.9454	3	0.6%
7.309	3	0.6%
5.4917	3	0.6%
6.4798	3	0.6%
6.0622	3	0.6%
4.8122	3	0.6%
5.1167	3	0.6%
7.3172	3	0.6%
5.4159	3	0.6%
6.498	3	0.6%
3.6519	3	0.6%
4.7211	3	0.6%
6.3361	3	0.6%
4.9671	2	0.4%
1.9512	2	0.4%
4.3549	2	0.4%
4.5667	2	0.4%
3.6715	2	0.4%
2.7778	2	0.4%
Other values (387)	431	85.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1.1296	1	0.2%
1.137	1	0.2%
1.1691	1	0.2%
1.1742	1	0.2%
1.1781	1	0.2%
1.2024	1	0.2%
1.2852	1	0.2%
1.3163	1	0.2%
1.3216	1	0.2%
1.3325	1	0.2%

Value	Count	Frequency (%)
12.1265	1	0.2%
10.7103	2	0.4%
10.5857	2	0.4%
9.2229	1	0.2%
9.2203	2	0.4%
9.1876	1	0.2%
9.0892	1	0.2%
8.9067	2	0.4%
8.7921	2	0.4%
8.6966	1	0.2%

rad
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	9
Distinct (%)	1.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	9.549407115
Minimum	1
Maximum	24
Zeros	0
Zeros (%)	0.0%
Memory size	4.1 KiB

Quantile statistics

Minimum	1
5-th percentile	2
Q1	4
median	5
Q3	24
95-th percentile	24
Maximum	24
Range	23
Interquartile range (IQR)	20

Descriptive statistics

Standard deviation	8.707259384
Coefficient of variation (CV)	0.9118115166
Kurtosis	-0.8672319936
Mean	9.549407115
Median Absolute Deviation (MAD)	2
Skewness	1.004814648
Sum	4832
Variance	75.81636598
Monotocity	Not monotonic

Histogram with fixed size bins (bins=9)

Value	Count	Frequency (%)
24	132	26.1%
5	115	22.7%
4	110	21.7%
3	38	7.5%
6	26	5.1%
2	24	4.7%
8	24	4.7%
1	20	4.0%
7	17	3.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	20	4.0%
2	24	4.7%
3	38	7.5%
4	110	21.7%
5	115	22.7%
6	26	5.1%
7	17	3.4%
8	24	4.7%
24	132	26.1%

Value	Count	Frequency (%)
24	132	26.1%
8	24	4.7%
7	17	3.4%
6	26	5.1%
5	115	22.7%
4	110	21.7%
3	38	7.5%
2	24	4.7%
1	20	4.0%

tax
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	66
Distinct (%)	13.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	408.2371542
Minimum	187
Maximum	711
Zeros	0
Zeros (%)	0.0%
Memory size	4.1 KiB

Quantile statistics

Minimum	187
5-th percentile	222
Q1	279
median	330
Q3	666
95-th percentile	666
Maximum	711
Range	524
Interquartile range (IQR)	387

Descriptive statistics

Standard deviation	168.5371161
Coefficient of variation (CV)	0.4128411987
Kurtosis	-1.142407992
Mean	408.2371542
Median Absolute Deviation (MAD)	73
Skewness	0.6699559418
Sum	206568
Variance	28404.75949
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
666	132	26.1%
307	40	7.9%
403	30	5.9%
437	15	3.0%
304	14	2.8%
264	12	2.4%
398	12	2.4%
384	11	2.2%
277	11	2.2%
330	10	2.0%
224	10	2.0%
432	9	1.8%
233	9	1.8%
276	9	1.8%
391	8	1.6%
296	8	1.6%
287	8	1.6%
193	8	1.6%
311	7	1.4%
188	7	1.4%
270	7	1.4%
222	7	1.4%
300	7	1.4%
284	7	1.4%
329	6	1.2%
Other values (41)	102	20.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
187	1	0.2%
188	7	1.4%
193	8	1.6%
198	1	0.2%
216	5	1.0%
222	7	1.4%
223	5	1.0%
224	10	2.0%
226	1	0.2%
233	9	1.8%

Value	Count	Frequency (%)
711	5	1.0%
666	132	26.1%
469	1	0.2%
437	15	3.0%
432	9	1.8%
430	3	0.6%
422	1	0.2%
411	2	0.4%
403	30	5.9%
402	2	0.4%

ptratio
Real number (ℝ_≥0)

Distinct	46
Distinct (%)	9.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	18.4555336
Minimum	12.6
Maximum	22
Zeros	0
Zeros (%)	0.0%
Memory size	4.1 KiB

Quantile statistics

Minimum	12.6
5-th percentile	14.7
Q1	17.4
median	19.05
Q3	20.2
95-th percentile	21
Maximum	22
Range	9.4
Interquartile range (IQR)	2.8

Descriptive statistics

Standard deviation	2.164945524
Coefficient of variation (CV)	0.1173060379
Kurtosis	-0.2850913833
Mean	18.4555336
Median Absolute Deviation (MAD)	1.15
Skewness	-0.8023249269
Sum	9338.5
Variance	4.686989121
Monotocity	Not monotonic

Histogram with fixed size bins (bins=46)

Value	Count	Frequency (%)
20.2	140	27.7%
14.7	34	6.7%
21	27	5.3%
17.8	23	4.5%
19.2	19	3.8%
17.4	18	3.6%
18.6	17	3.4%
19.1	17	3.4%
16.6	16	3.2%
18.4	16	3.2%
21.2	15	3.0%
15.2	13	2.6%
13	12	2.4%
17.9	11	2.2%
20.9	11	2.2%
18.7	9	1.8%
19.6	8	1.6%
19.7	8	1.6%
17.6	7	1.4%
16.4	6	1.2%
16	5	1.0%
18	5	1.0%
16.9	5	1.0%
16.1	5	1.0%
20.1	5	1.0%
Other values (21)	54	10.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
12.6	3	0.6%
13	12	2.4%
13.6	1	0.2%
14.4	1	0.2%
14.7	34	6.7%
14.8	3	0.6%
14.9	4	0.8%
15.1	1	0.2%
15.2	13	2.6%
15.3	3	0.6%

Value	Count	Frequency (%)
22	2	0.4%
21.2	15	3.0%
21.1	1	0.2%
21	27	5.3%
20.9	11	2.2%
20.2	140	27.7%
20.1	5	1.0%
19.7	8	1.6%
19.6	8	1.6%
19.2	19	3.8%

b
Real number (ℝ_≥0)

Distinct	357
Distinct (%)	70.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	356.6740316
Minimum	0.32
Maximum	396.9
Zeros	0
Zeros (%)	0.0%
Memory size	4.1 KiB

Quantile statistics

Minimum	0.32
5-th percentile	84.59
Q1	375.3775
median	391.44
Q3	396.225
95-th percentile	396.9
Maximum	396.9
Range	396.58
Interquartile range (IQR)	20.8475

Descriptive statistics

Standard deviation	91.29486438
Coefficient of variation (CV)	0.255961624
Kurtosis	7.226817549
Mean	356.6740316
Median Absolute Deviation (MAD)	5.46
Skewness	-2.890373712
Sum	180477.06
Variance	8334.752263
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
396.9	121	23.9%
395.24	3	0.6%
393.74	3	0.6%
394.12	2	0.4%
395.56	2	0.4%
390.94	2	0.4%
388.45	2	0.4%
393.23	2	0.4%
396.21	2	0.4%
393.37	2	0.4%
391.34	2	0.4%
396.06	2	0.4%
392.8	2	0.4%
395.63	2	0.4%
389.71	2	0.4%
395.11	2	0.4%
394.72	2	0.4%
377.07	2	0.4%
341.6	2	0.4%
393.45	2	0.4%
395.58	2	0.4%
395.69	2	0.4%
376.14	2	0.4%
374.71	2	0.4%
392.78	2	0.4%
Other values (332)	335	66.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.32	1	0.2%
2.52	1	0.2%
2.6	1	0.2%
3.5	1	0.2%
3.65	1	0.2%
6.68	1	0.2%
7.68	1	0.2%
9.32	1	0.2%
10.48	1	0.2%
16.45	1	0.2%

Value	Count	Frequency (%)
396.9	121	23.9%
396.42	1	0.2%
396.33	1	0.2%
396.3	1	0.2%
396.28	1	0.2%
396.24	1	0.2%
396.23	1	0.2%
396.21	2	0.4%
396.14	1	0.2%
396.06	2	0.4%

lstat
Real number (ℝ_≥0)

Distinct	455
Distinct (%)	89.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	12.65306324
Minimum	1.73
Maximum	37.97
Zeros	0
Zeros (%)	0.0%
Memory size	4.1 KiB

Quantile statistics

Minimum	1.73
5-th percentile	3.7075
Q1	6.95
median	11.36
Q3	16.955
95-th percentile	26.8075
Maximum	37.97
Range	36.24
Interquartile range (IQR)	10.005

Descriptive statistics

Standard deviation	7.141061511
Coefficient of variation (CV)	0.5643741263
Kurtosis	0.4932395174
Mean	12.65306324
Median Absolute Deviation (MAD)	4.795
Skewness	0.9064600936
Sum	6402.45
Variance	50.99475951
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
8.05	3	0.6%
6.36	3	0.6%
18.13	3	0.6%
14.1	3	0.6%
7.79	3	0.6%
18.46	2	0.4%
9.97	2	0.4%
5.33	2	0.4%
10.45	2	0.4%
6.72	2	0.4%
21.32	2	0.4%
12.67	2	0.4%
3.53	2	0.4%
17.6	2	0.4%
5.5	2	0.4%
7.6	2	0.4%
12.03	2	0.4%
12.43	2	0.4%
13.27	2	0.4%
5.49	2	0.4%
14.81	2	0.4%
6.58	2	0.4%
13.44	2	0.4%
17.27	2	0.4%
13	2	0.4%
Other values (430)	451	89.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1.73	1	0.2%
1.92	1	0.2%
1.98	1	0.2%
2.47	1	0.2%
2.87	1	0.2%
2.88	1	0.2%
2.94	1	0.2%
2.96	1	0.2%
2.97	1	0.2%
2.98	1	0.2%

Value	Count	Frequency (%)
37.97	1	0.2%
36.98	1	0.2%
34.77	1	0.2%
34.41	1	0.2%
34.37	1	0.2%
34.02	1	0.2%
31.99	1	0.2%
30.81	2	0.4%
30.63	1	0.2%
30.62	1	0.2%

medv
Real number (ℝ_≥0)

Distinct	229
Distinct (%)	45.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	22.53280632
Minimum	5
Maximum	50
Zeros	0
Zeros (%)	0.0%
Memory size	4.1 KiB

Quantile statistics

Minimum	5
5-th percentile	10.2
Q1	17.025
median	21.2
Q3	25
95-th percentile	43.4
Maximum	50
Range	45
Interquartile range (IQR)	7.975

Descriptive statistics

Standard deviation	9.197104087
Coefficient of variation (CV)	0.408165053
Kurtosis	1.495196944
Mean	22.53280632
Median Absolute Deviation (MAD)	4
Skewness	1.108098408
Sum	11401.6
Variance	84.58672359
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
50	16	3.2%
25	8	1.6%
21.7	7	1.4%
22	7	1.4%
23.1	7	1.4%
20.6	6	1.2%
19.4	6	1.2%
13.8	5	1.0%
22.6	5	1.0%
21.2	5	1.0%
19.3	5	1.0%
22.2	5	1.0%
23.9	5	1.0%
20.1	5	1.0%
20	5	1.0%
19.6	5	1.0%
17.8	5	1.0%
21.4	5	1.0%
15.6	5	1.0%
18.9	4	0.8%
20.3	4	0.8%
19.5	4	0.8%
23.2	4	0.8%
23.8	4	0.8%
18.5	4	0.8%
Other values (204)	365	72.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
5	2	0.4%
5.6	1	0.2%
6.3	1	0.2%
7	2	0.4%
7.2	3	0.6%
7.4	1	0.2%
7.5	1	0.2%
8.1	1	0.2%
8.3	2	0.4%
8.4	2	0.4%

Value	Count	Frequency (%)
50	16	3.2%
48.8	1	0.2%
48.5	1	0.2%
48.3	1	0.2%
46.7	1	0.2%
46	1	0.2%
45.4	1	0.2%
44.8	1	0.2%
44	1	0.2%
43.8	1	0.2%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

First rows

	crim	zn	indus	nox	rm	age	dis	rad	tax	ptratio	b	lstat	medv
0	0.00632	18.0	2.31	0.538	6.575	65.2	4.0900	1	296	15.3	396.90	4.98	24.0
1	0.02731	0.0	7.07	0.469	6.421	78.9	4.9671	2	242	17.8	396.90	9.14	21.6
2	0.02729	0.0	7.07	0.469	7.185	61.1	4.9671	2	242	17.8	392.83	4.03	34.7
3	0.03237	0.0	2.18	0.458	6.998	45.8	6.0622	3	222	18.7	394.63	2.94	33.4
4	0.06905	0.0	2.18	0.458	7.147	54.2	6.0622	3	222	18.7	396.90	5.33	36.2
5	0.02985	0.0	2.18	0.458	6.430	58.7	6.0622	3	222	18.7	394.12	5.21	28.7
6	0.08829	12.5	7.87	0.524	6.012	66.6	5.5605	5	311	15.2	395.60	12.43	22.9
7	0.14455	12.5	7.87	0.524	6.172	96.1	5.9505	5	311	15.2	396.90	19.15	27.1
8	0.21124	12.5	7.87	0.524	5.631	100.0	6.0821	5	311	15.2	386.63	29.93	16.5
9	0.17004	12.5	7.87	0.524	6.004	85.9	6.5921	5	311	15.2	386.71	17.10	18.9

Last rows

	crim	indus	nox	rm	age	dis	rad	tax	ptratio	b	lstat	medv
496	0.28960	9.69	0.585	5.390	72.9	2.7986	6	391	19.2	396.90	21.14	19.7
497	0.26838	9.69	0.585	5.794	70.6	2.8927	6	391	19.2	396.90	14.10	18.3
498	0.23912	9.69	0.585	6.019	65.3	2.4091	6	391	19.2	396.90	12.92	21.2
499	0.17783	9.69	0.585	5.569	73.5	2.3999	6	391	19.2	395.77	15.10	17.5
500	0.22438	9.69	0.585	6.027	79.7	2.4982	6	391	19.2	396.90	14.33	16.8
501	0.06263	11.93	0.573	6.593	69.1	2.4786	1	273	21.0	391.99	9.67	22.4
502	0.04527	11.93	0.573	6.120	76.7	2.2875	1	273	21.0	396.90	9.08	20.6
503	0.06076	11.93	0.573	6.976	91.0	2.1675	1	273	21.0	396.90	5.64	23.9
504	0.10959	11.93	0.573	6.794	89.3	2.3889	1	273	21.0	393.45	6.48	22.0
505	0.04741	11.93	0.573	6.030	80.8	2.5050	1	273	21.0	396.90	7.88	11.9

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows